If a pair of opposite sides of a trapezium are equal, then, it is a parallelogram. State True or False.

True

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False

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Solution

The correct option is B False
If the opposite parallel sides of a trapezium are equal, then, it is a parallelogram. A trapezium with equal sides which are non-parallel is not a parallelogram.

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Similar questions

State true or false:

In any quadrilateral, if a pair of opposite sides is equal, then it is a parallelogram.

Statement 1: A parallelogram is a trapezium.
Statement 2: A trapezium has one pair of opposite sides parallel. A parallelogram has both pairs of opposite sides parallel.

State 'True' or 'False':

If two adjacent sides of a parallelogram are equal, it is a rhombus.

Q. Complete each of the following statements by means of one of those given in brackets against each:
(i) If one pair of opposite sides are equal and parallel, then the figure is ........................
(parallelogram, rectangle, trapezium)

(ii) If in a quadrilateral only one pair of opposite sides are parallel, the quadrilateral is ................ (square, rectangle, trapezium)

(iii) A line drawn from the mid-point of one side of a triangle .............. another side intersects the third side at its mid-point. (perpendicular to parallel to, to meet)

(iv) If one angle of a parallelogram is a right angle, then it is necessarily a .................
(rectangle, square, rhombus)

(v) Consecutive angles of a parallelogram are ...................
(supplementary, complementary)

(vi) If both pairs of opposite sides of a quadrilateral are equal, then it is necessarily a ...............
(rectangle, parallelogram, rhombus)

(vii) If opposite angles of a quadrilateral are equal, then it is necessarily a ....................
(parallelogram, rhombus, rectangle)

(viii) If consecutive sides of a parallelogram are equal, then it is necessarily a ..................
(kite, rhombus, square)

Which of the following is/are true about a kite?

1. Two pairs of adjacent sides are equal.

2. Two pairs of opposite sides are equal.

3. It is not a parallelogram.

4. It is a parallelogram.

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If a pair of opposite sides of a trapezium are equal, then, it is a parallelogram. State True or False.

The correct option is B FalseIf the opposite parallel sides of a trapezium are equal, then, it is a parallelogram. A trapezium with equal sides which are non-parallel is not a parallelogram.

The correct option is B False
If the opposite parallel sides of a trapezium are equal, then, it is a parallelogram. A trapezium with equal sides which are non-parallel is not a parallelogram.